Respuesta :

Answer:

C

Step-by-step explanation:

Since the triangle is right with hypotenuse QR

Use Pythagoras' identity to solve for QR

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

QR² = 8² + (8[tex]\sqrt{3}[/tex] )²

       = 64 + 192

       = 256 ( take the square root of both sides )

QR = [tex]\sqrt{256}[/tex] = 16

The side QR is hypotenuse of the given right triangle.

The length QR can be obtained by using Pythagoras theorem.

|QR| = 16 units. Thus, option C: 16 is correct choice.

Given that:

  • |QP| =   8√3 units
  • |PR| = 8 units

To find:

Length of QR.

Calculation:

By Pythagoras theorem, we have:

[tex]|QR|^2 = |PQ|^2 + |PS|^2\\|QR| = \sqrt{(8\sqrt3)^2 + 8^2} \text{ positive root since length are measured non negative}\\|QR| = \sqrt{4 \times 64} = 16\\[/tex]

Thus, the length of QR is evaluated as 16 units.

Learn more about right angled triangles here:

https://brainly.com/question/396866

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